Finding the Third Proportional to 83,469 and 196,841

Step by Step Solution

1. Step 1: Write the proportion equation
   83,469 : 196,841 = 196,841 : x
2. Step 2: Convert to fraction form
   83,469/196,841 = 196,841/x
3. Step 3: Cross multiply
   83,469x = 196,841 × 196,841
4. Step 4: Simplify right side
   83,469x = 38,746,379,281
5. Step 5: Solve for x
   x = 38,746,379,281/83,469
6. Step 6: Final answer
   x = 464,200.83